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Finding the Fourth Proportional to 13,892.99, 19,173.11 and 8,231.09

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Solution

The fourth proportional to 13,892.99, 19,173.11 and 8,231.09 is: 11,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.99 : 19,173.11 = 8,231.09 : x
  2. Step 2: Convert to fraction form
    13,892.99/19,173.11 = 8,231.09/x
  3. Step 3: Cross multiply
    13,892.99x = 19,173.11 × 8,231.09
  4. Step 4: Simplify right side
    13,892.99x = 157,815,456.97
  5. Step 5: Solve for x
    x = 157,815,456.97/13,892.99
  6. Step 6: Final answer
    x = 11,359.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.